My baby doesn't burp sometimes after breastfeeding, he is 1 week old, is it normal?

Could be: Depending on how your baby is being fed will depend on how much they burp. A breast fed baby does not tend to swallow much air when eating and may not burp as much. A bottle fed baby may swallow more air and burp more. If your child is spitting up a lot after feeding, this may be a sign that he/she needs to be burped more as well.

Absolutely!: Not every baby burps every feeding. Burping is typically prompted by swallowing air during the feed. Perhaps you have positioned your baby at the breast such that there is little to no air being swallowed with your milk. Perhaps I should hire you in my pediatric office to instruct other mothers how to properly breast feed! (although, from alaska to texas would be a long commute!).